Second noble kipiscoidal icositetrahedron

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Second noble kipiscoidal icositetrahedron
Rank3
TypeNoble
Elements
Faces24 irregular pentagons
Edges12+12+12+12+12
Vertices24
Vertex figureIrregular pentagon
Related polytopes
ArmyNonuniform snub cube
DualSecond noble kisombreroidal icositetrahedron
Convex coreNon-Catalan pentagonal icositetrahedron
Abstract & topological properties
Flag count240
Euler characteristic–12
OrientableNo
Genus14
Properties
SymmetryB3+, order 24
Flag orbits10
ConvexNo
NatureTame

The second noble kipiscoidal icositetrahedron is a noble polyhedron. Its 24 congruent faces are irregular pentagons meeting at congruent order-5 vertices. It is a faceting of a non-uniform snub cubic hull.

The ratio between the longest and shortest edges is 1:2.68320.

Vertex coordinates[edit | edit source]

This polyhedron has coordinates given by all even permutations with an even number of sign changes, plus all odd permutations with an odd amount of sign changes, of

  • (1, a, b),

where

is the real root of , and

is the real root of .

These are the same coordinates as the noble kipentagrammic icositetrahedron.